Visit on Wednesdays at Courthouse Square (60 Seaport Blvd.) from 11:30 a.m. until 6:30 p.m. Don’t want to cross a bridge? Fear not: The Boston Public Market at Dewey Square on the Greenway returns for the season even sooner, on May 15, and runs on Tuesdays and Thursdays from 11:30 a.m. until 6: 30 p.m.